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Finding the Third Proportional to 47,202 and 103,314

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Solution

The third proportional to 47,202 and 103,314 is: 226,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,202 : 103,314 = 103,314 : x
  2. Step 2: Convert to fraction form
    47,202/103,314 = 103,314/x
  3. Step 3: Cross multiply
    47,202x = 103,314 × 103,314
  4. Step 4: Simplify right side
    47,202x = 10,673,782,596
  5. Step 5: Solve for x
    x = 10,673,782,596/47,202
  6. Step 6: Final answer
    x = 226,129.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.